TSTP Solution File: CAT026+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT026+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:50:54 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of formulae : 156 ( 16 unt; 0 def)
% Number of atoms : 941 ( 8 equ)
% Maximal formula atoms : 22 ( 6 avg)
% Number of connectives : 1424 ( 639 ~; 615 |; 123 &)
% ( 8 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-5 aty)
% Number of variables : 263 ( 228 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f305,plain,
$false,
inference(avatar_sat_refutation,[],[f139,f203,f209,f215,f221,f235,f271,f277,f287]) ).
fof(f287,plain,
~ spl9_8,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f285,f120]) ).
fof(f120,plain,
v2_cat_1(sK3),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( l1_cat_1(sK3)
& v2_cat_1(sK3)
& l1_cat_1(sK4)
& v2_cat_1(sK4)
& r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
& m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,sK5),k11_isocat_2(sK2,sK3,sK4,sK6))
| ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,sK5),k12_isocat_2(sK2,sK3,sK4,sK6)) )
& m2_cat_1(sK5,sK2,k11_cat_2(sK3,sK4))
& l1_cat_1(sK2)
& v2_cat_1(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6])],[f61,f97,f96,f95,f94,f93]) ).
fof(f93,plain,
( ? [X0] :
( ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( ? [X4] :
( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2))
& ( ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) ) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) ) ) )
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,sK2,k11_cat_2(X1,X2))
& ( ~ r2_nattra_1(sK2,X1,k11_isocat_2(sK2,X1,X2,X3),k11_isocat_2(sK2,X1,X2,X4))
| ~ r2_nattra_1(sK2,X2,k12_isocat_2(sK2,X1,X2,X3),k12_isocat_2(sK2,X1,X2,X4)) ) )
& m2_cat_1(X3,sK2,k11_cat_2(X1,X2)) ) ) )
& l1_cat_1(sK2)
& v2_cat_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
( ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,sK2,k11_cat_2(X1,X2))
& ( ~ r2_nattra_1(sK2,X1,k11_isocat_2(sK2,X1,X2,X3),k11_isocat_2(sK2,X1,X2,X4))
| ~ r2_nattra_1(sK2,X2,k12_isocat_2(sK2,X1,X2,X3),k12_isocat_2(sK2,X1,X2,X4)) ) )
& m2_cat_1(X3,sK2,k11_cat_2(X1,X2)) ) ) )
=> ( l1_cat_1(sK3)
& v2_cat_1(sK3)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(sK3,X2),X3,X4)
& m2_cat_1(X4,sK2,k11_cat_2(sK3,X2))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,X2,X3),k11_isocat_2(sK2,sK3,X2,X4))
| ~ r2_nattra_1(sK2,X2,k12_isocat_2(sK2,sK3,X2,X3),k12_isocat_2(sK2,sK3,X2,X4)) ) )
& m2_cat_1(X3,sK2,k11_cat_2(sK3,X2)) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
( ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(sK3,X2),X3,X4)
& m2_cat_1(X4,sK2,k11_cat_2(sK3,X2))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,X2,X3),k11_isocat_2(sK2,sK3,X2,X4))
| ~ r2_nattra_1(sK2,X2,k12_isocat_2(sK2,sK3,X2,X3),k12_isocat_2(sK2,sK3,X2,X4)) ) )
& m2_cat_1(X3,sK2,k11_cat_2(sK3,X2)) ) )
=> ( l1_cat_1(sK4)
& v2_cat_1(sK4)
& ? [X3] :
( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(sK3,sK4),X3,X4)
& m2_cat_1(X4,sK2,k11_cat_2(sK3,sK4))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,X3),k11_isocat_2(sK2,sK3,sK4,X4))
| ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,X3),k12_isocat_2(sK2,sK3,sK4,X4)) ) )
& m2_cat_1(X3,sK2,k11_cat_2(sK3,sK4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X3] :
( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(sK3,sK4),X3,X4)
& m2_cat_1(X4,sK2,k11_cat_2(sK3,sK4))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,X3),k11_isocat_2(sK2,sK3,sK4,X4))
| ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,X3),k12_isocat_2(sK2,sK3,sK4,X4)) ) )
& m2_cat_1(X3,sK2,k11_cat_2(sK3,sK4)) )
=> ( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,X4)
& m2_cat_1(X4,sK2,k11_cat_2(sK3,sK4))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,sK5),k11_isocat_2(sK2,sK3,sK4,X4))
| ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,sK5),k12_isocat_2(sK2,sK3,sK4,X4)) ) )
& m2_cat_1(sK5,sK2,k11_cat_2(sK3,sK4)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
( ? [X4] :
( r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,X4)
& m2_cat_1(X4,sK2,k11_cat_2(sK3,sK4))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,sK5),k11_isocat_2(sK2,sK3,sK4,X4))
| ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,sK5),k12_isocat_2(sK2,sK3,sK4,X4)) ) )
=> ( r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
& m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
& ( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,sK5),k11_isocat_2(sK2,sK3,sK4,sK6))
| ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,sK5),k12_isocat_2(sK2,sK3,sK4,sK6)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
? [X0] :
( ? [X1] :
( l1_cat_1(X1)
& v2_cat_1(X1)
& ? [X2] :
( l1_cat_1(X2)
& v2_cat_1(X2)
& ? [X3] :
( ? [X4] :
( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2))
& ( ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) ) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) ) ) )
& l1_cat_1(X0)
& v2_cat_1(X0) ),
inference(flattening,[],[f60]) ).
fof(f60,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ( ~ r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4))
| ~ r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4)) )
& r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
& m2_cat_1(X4,X0,k11_cat_2(X1,X2)) )
& m2_cat_1(X3,X0,k11_cat_2(X1,X2)) )
& l1_cat_1(X2)
& v2_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> ! [X4] :
( m2_cat_1(X4,X0,k11_cat_2(X1,X2))
=> ( r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
=> ( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k12_isocat_2(X0,X1,X2,X4))
& r2_nattra_1(X0,X1,k11_isocat_2(X0,X1,X2,X3),k11_isocat_2(X0,X1,X2,X4)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_isocat_2) ).
fof(f285,plain,
( ~ v2_cat_1(sK3)
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f284,f118]) ).
fof(f118,plain,
v2_cat_1(sK4),
inference(cnf_transformation,[],[f98]) ).
fof(f284,plain,
( ~ v2_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f283,f121]) ).
fof(f121,plain,
l1_cat_1(sK3),
inference(cnf_transformation,[],[f98]) ).
fof(f283,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f278,f119]) ).
fof(f119,plain,
l1_cat_1(sK4),
inference(cnf_transformation,[],[f98]) ).
fof(f278,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ spl9_8 ),
inference(resolution,[],[f270,f128]) ).
fof(f128,plain,
! [X0,X1] :
( m2_cat_1(k9_isocat_2(X1,X0),k11_cat_2(X1,X0),X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| m2_cat_1(k9_isocat_2(X1,X0),k11_cat_2(X1,X0),X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( m2_cat_1(k9_isocat_2(X1,X0),k11_cat_2(X1,X0),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X1) )
=> m2_cat_1(k9_isocat_2(X1,X0),k11_cat_2(X1,X0),X0) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X1)
& v2_cat_1(X1)
& l1_cat_1(X0) )
=> m2_cat_1(k9_isocat_2(X0,X1),k11_cat_2(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_isocat_2) ).
fof(f270,plain,
( ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK4)
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl9_8
<=> ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f277,plain,
spl9_7,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f276,plain,
( $false
| spl9_7 ),
inference(subsumption_resolution,[],[f275,f120]) ).
fof(f275,plain,
( ~ v2_cat_1(sK3)
| spl9_7 ),
inference(subsumption_resolution,[],[f274,f118]) ).
fof(f274,plain,
( ~ v2_cat_1(sK4)
| ~ v2_cat_1(sK3)
| spl9_7 ),
inference(subsumption_resolution,[],[f273,f119]) ).
fof(f273,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| spl9_7 ),
inference(subsumption_resolution,[],[f272,f121]) ).
fof(f272,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK3)
| spl9_7 ),
inference(resolution,[],[f267,f128]) ).
fof(f267,plain,
( ~ m2_cat_1(k9_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK4)
| spl9_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl9_7
<=> m2_cat_1(k9_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f271,plain,
( ~ spl9_7
| spl9_8
| spl9_2
| ~ spl9_3
| ~ spl9_5 ),
inference(avatar_split_clause,[],[f263,f197,f189,f136,f269,f265]) ).
fof(f136,plain,
( spl9_2
<=> r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,sK5),k12_isocat_2(sK2,sK3,sK4,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f189,plain,
( spl9_3
<=> v2_cat_1(k11_cat_2(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f197,plain,
( spl9_5
<=> l1_cat_1(k11_cat_2(sK3,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f263,plain,
( ! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK4)
| ~ m2_cat_1(k9_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK4) )
| spl9_2
| ~ spl9_3
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f262,f119]) ).
fof(f262,plain,
( ! [X0] :
( ~ l1_cat_1(sK4)
| ~ m2_cat_1(k9_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK4)
| ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK4) )
| spl9_2
| ~ spl9_3
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f261,f198]) ).
fof(f198,plain,
( l1_cat_1(k11_cat_2(sK3,sK4))
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f261,plain,
( ! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK4)
| ~ l1_cat_1(k11_cat_2(sK3,sK4))
| ~ m2_cat_1(k9_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK4)
| ~ l1_cat_1(sK4) )
| spl9_2
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f260,f190]) ).
fof(f190,plain,
( v2_cat_1(k11_cat_2(sK3,sK4))
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f260,plain,
( ! [X0] :
( ~ v2_cat_1(k11_cat_2(sK3,sK4))
| ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK4)
| ~ l1_cat_1(sK4)
| ~ m2_cat_1(k9_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK4)
| ~ l1_cat_1(k11_cat_2(sK3,sK4)) )
| spl9_2 ),
inference(subsumption_resolution,[],[f259,f118]) ).
fof(f259,plain,
( ! [X0] :
( ~ v2_cat_1(sK4)
| ~ v2_cat_1(k11_cat_2(sK3,sK4))
| ~ l1_cat_1(k11_cat_2(sK3,sK4))
| ~ l1_cat_1(sK4)
| ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK4)
| ~ m2_cat_1(k9_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK4) )
| spl9_2 ),
inference(resolution,[],[f258,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( r2_nattra_1(X3,X2,X1,X1)
| ~ m2_cat_1(X1,X3,X2)
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X0,X3,X2)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( ~ m2_cat_1(X1,X3,X2)
| ~ m2_cat_1(X0,X3,X2)
| r2_nattra_1(X3,X2,X1,X1)
| ~ v2_cat_1(X3)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X3)
| ~ v2_cat_1(X2) ),
inference(rectify,[],[f83]) ).
fof(f83,plain,
! [X1,X3,X0,X2] :
( ~ m2_cat_1(X3,X2,X0)
| ~ m2_cat_1(X1,X2,X0)
| r2_nattra_1(X2,X0,X3,X3)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X3,X1,X2,X0] :
( r2_nattra_1(X2,X0,X3,X3)
| ~ m2_cat_1(X1,X2,X0)
| ~ m2_cat_1(X3,X2,X0)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X3,X1,X2,X0] :
( ( m2_cat_1(X1,X2,X0)
& m2_cat_1(X3,X2,X0)
& l1_cat_1(X2)
& l1_cat_1(X0)
& v2_cat_1(X2)
& v2_cat_1(X0) )
=> r2_nattra_1(X2,X0,X3,X3) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X1,X3,X0,X2] :
( ( m2_cat_1(X2,X0,X1)
& l1_cat_1(X1)
& m2_cat_1(X3,X0,X1)
& v2_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> r2_nattra_1(X0,X1,X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r2_nattra_1) ).
fof(f258,plain,
( ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| spl9_2 ),
inference(subsumption_resolution,[],[f257,f118]) ).
fof(f257,plain,
( ~ v2_cat_1(sK4)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| spl9_2 ),
inference(subsumption_resolution,[],[f256,f120]) ).
fof(f256,plain,
( ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| spl9_2 ),
inference(subsumption_resolution,[],[f255,f112]) ).
fof(f112,plain,
v2_cat_1(sK2),
inference(cnf_transformation,[],[f98]) ).
fof(f255,plain,
( ~ v2_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| spl9_2 ),
inference(subsumption_resolution,[],[f254,f117]) ).
fof(f117,plain,
r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6),
inference(cnf_transformation,[],[f98]) ).
fof(f254,plain,
( ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK4)
| spl9_2 ),
inference(subsumption_resolution,[],[f253,f116]) ).
fof(f116,plain,
m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4)),
inference(cnf_transformation,[],[f98]) ).
fof(f253,plain,
( ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ v2_cat_1(sK4)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| spl9_2 ),
inference(subsumption_resolution,[],[f252,f113]) ).
fof(f113,plain,
l1_cat_1(sK2),
inference(cnf_transformation,[],[f98]) ).
fof(f252,plain,
( ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ v2_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| ~ v2_cat_1(sK2)
| spl9_2 ),
inference(subsumption_resolution,[],[f251,f121]) ).
fof(f251,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK2)
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK4)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ v2_cat_1(sK3)
| spl9_2 ),
inference(subsumption_resolution,[],[f250,f119]) ).
fof(f250,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK3)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| ~ v2_cat_1(sK4)
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ v2_cat_1(sK2)
| spl9_2 ),
inference(subsumption_resolution,[],[f249,f114]) ).
fof(f114,plain,
m2_cat_1(sK5,sK2,k11_cat_2(sK3,sK4)),
inference(cnf_transformation,[],[f98]) ).
fof(f249,plain,
( ~ m2_cat_1(sK5,sK2,k11_cat_2(sK3,sK4))
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK4,k9_isocat_2(sK3,sK4),k9_isocat_2(sK3,sK4))
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ v2_cat_1(sK2)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK2)
| ~ l1_cat_1(sK4)
| spl9_2 ),
inference(resolution,[],[f138,f169]) ).
fof(f169,plain,
! [X2,X3,X0,X1,X4] :
( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X3))
| ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),k9_isocat_2(X1,X2))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0) ),
inference(subsumption_resolution,[],[f166,f128]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X4] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X3))
| ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ l1_cat_1(X2)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1) ),
inference(duplicate_literal_removal,[],[f164]) ).
fof(f164,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_cat_1(X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X4,X3)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),k9_isocat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X4),k12_isocat_2(X0,X1,X2,X3)) ),
inference(superposition,[],[f154,f123]) ).
fof(f123,plain,
! [X2,X3,X0,X1] :
( k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ v2_cat_1(X2)
| ! [X3] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) )
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k12_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X3,k9_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_isocat_2) ).
fof(f154,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),X5)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0) ),
inference(subsumption_resolution,[],[f153,f129]) ).
fof(f129,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ~ l1_cat_1(X0)
| ( v2_cat_1(k11_cat_2(X1,X0))
& l1_cat_1(k11_cat_2(X1,X0)) )
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ~ l1_cat_1(X1)
| ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X1,X0] :
( ( v2_cat_1(X1)
& l1_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f153,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),X5)
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(subsumption_resolution,[],[f152,f130]) ).
fof(f130,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X1,X0))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f152,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ l1_cat_1(X2)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X2)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),X5)
| r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5))
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(subsumption_resolution,[],[f151,f128]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ v2_cat_1(X1)
| ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),X5)
| r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5))
| ~ v2_cat_1(X2)
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m2_cat_1(k9_isocat_2(X1,X2),k11_cat_2(X1,X2),X2)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X0)
| r2_nattra_1(X0,X2,k12_isocat_2(X0,X1,X2,X3),k2_isocat_1(X0,k11_cat_2(X1,X2),X2,X4,X5))
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ r2_nattra_1(X0,k11_cat_2(X1,X2),X3,X4)
| ~ l1_cat_1(k11_cat_2(X1,X2))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ m2_cat_1(X5,k11_cat_2(X1,X2),X2)
| ~ v2_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X4,X0,k11_cat_2(X1,X2))
| ~ r2_nattra_1(k11_cat_2(X1,X2),X2,k9_isocat_2(X1,X2),X5)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(k11_cat_2(X1,X2)) ),
inference(superposition,[],[f105,f123]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ m2_cat_1(X6,X1,X2)
| ~ m2_cat_1(X3,X0,X1)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X1)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ m2_cat_1(X4,X0,X1)
| ~ m2_cat_1(X5,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ! [X1] :
( ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ! [X2] :
( ! [X3] :
( ~ m2_cat_1(X3,X0,X1)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ r2_nattra_1(X0,X1,X3,X4)
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ m2_cat_1(X6,X1,X2)
| r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) ) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) ) )
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6))
| ~ r2_nattra_1(X1,X2,X5,X6)
| ~ r2_nattra_1(X0,X1,X3,X4)
| ~ m2_cat_1(X6,X1,X2) )
| ~ m2_cat_1(X5,X1,X2) )
| ~ m2_cat_1(X4,X0,X1) )
| ~ m2_cat_1(X3,X0,X1) )
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ( l1_cat_1(X0)
& v2_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( l1_cat_1(X2)
& v2_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,X1)
=> ! [X4] :
( m2_cat_1(X4,X0,X1)
=> ! [X5] :
( m2_cat_1(X5,X1,X2)
=> ! [X6] :
( m2_cat_1(X6,X1,X2)
=> ( ( r2_nattra_1(X1,X2,X5,X6)
& r2_nattra_1(X0,X1,X3,X4) )
=> r2_nattra_1(X0,X2,k2_isocat_1(X0,X1,X2,X3,X5),k2_isocat_1(X0,X1,X2,X4,X6)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_isocat_1) ).
fof(f138,plain,
( ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,sK5),k12_isocat_2(sK2,sK3,sK4,sK6))
| spl9_2 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f235,plain,
~ spl9_6,
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f233,f120]) ).
fof(f233,plain,
( ~ v2_cat_1(sK3)
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f232,f118]) ).
fof(f232,plain,
( ~ v2_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f231,f121]) ).
fof(f231,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f222,f119]) ).
fof(f222,plain,
( ~ l1_cat_1(sK4)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ spl9_6 ),
inference(resolution,[],[f202,f127]) ).
fof(f127,plain,
! [X0,X1] :
( m2_cat_1(k8_isocat_2(X1,X0),k11_cat_2(X1,X0),X1)
| ~ l1_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ l1_cat_1(X1)
| m2_cat_1(k8_isocat_2(X1,X0),k11_cat_2(X1,X0),X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ~ l1_cat_1(X0)
| m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X1) ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X1,X0] :
( m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0)
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ v2_cat_1(X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X1,X0] :
( ( l1_cat_1(X1)
& l1_cat_1(X0)
& v2_cat_1(X0)
& v2_cat_1(X1) )
=> m2_cat_1(k8_isocat_2(X0,X1),k11_cat_2(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_isocat_2) ).
fof(f202,plain,
( ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK3)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl9_6
<=> ! [X0] : ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f221,plain,
spl9_5,
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| spl9_5 ),
inference(subsumption_resolution,[],[f219,f121]) ).
fof(f219,plain,
( ~ l1_cat_1(sK3)
| spl9_5 ),
inference(subsumption_resolution,[],[f218,f119]) ).
fof(f218,plain,
( ~ l1_cat_1(sK4)
| ~ l1_cat_1(sK3)
| spl9_5 ),
inference(subsumption_resolution,[],[f217,f118]) ).
fof(f217,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ l1_cat_1(sK3)
| spl9_5 ),
inference(subsumption_resolution,[],[f216,f120]) ).
fof(f216,plain,
( ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ l1_cat_1(sK3)
| spl9_5 ),
inference(resolution,[],[f199,f129]) ).
fof(f199,plain,
( ~ l1_cat_1(k11_cat_2(sK3,sK4))
| spl9_5 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f215,plain,
spl9_4,
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| spl9_4 ),
inference(subsumption_resolution,[],[f213,f119]) ).
fof(f213,plain,
( ~ l1_cat_1(sK4)
| spl9_4 ),
inference(subsumption_resolution,[],[f212,f118]) ).
fof(f212,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| spl9_4 ),
inference(subsumption_resolution,[],[f211,f120]) ).
fof(f211,plain,
( ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| spl9_4 ),
inference(subsumption_resolution,[],[f210,f121]) ).
fof(f210,plain,
( ~ l1_cat_1(sK3)
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK4)
| ~ v2_cat_1(sK3)
| spl9_4 ),
inference(resolution,[],[f195,f127]) ).
fof(f195,plain,
( ~ m2_cat_1(k8_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK3)
| spl9_4 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl9_4
<=> m2_cat_1(k8_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f209,plain,
spl9_3,
inference(avatar_contradiction_clause,[],[f208]) ).
fof(f208,plain,
( $false
| spl9_3 ),
inference(subsumption_resolution,[],[f207,f120]) ).
fof(f207,plain,
( ~ v2_cat_1(sK3)
| spl9_3 ),
inference(subsumption_resolution,[],[f206,f121]) ).
fof(f206,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| spl9_3 ),
inference(subsumption_resolution,[],[f205,f119]) ).
fof(f205,plain,
( ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK3)
| spl9_3 ),
inference(subsumption_resolution,[],[f204,f118]) ).
fof(f204,plain,
( ~ v2_cat_1(sK4)
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK4)
| ~ l1_cat_1(sK3)
| spl9_3 ),
inference(resolution,[],[f191,f130]) ).
fof(f191,plain,
( ~ v2_cat_1(k11_cat_2(sK3,sK4))
| spl9_3 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f203,plain,
( ~ spl9_3
| ~ spl9_4
| ~ spl9_5
| spl9_6
| spl9_1 ),
inference(avatar_split_clause,[],[f187,f132,f201,f197,f193,f189]) ).
fof(f132,plain,
( spl9_1
<=> r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,sK5),k11_isocat_2(sK2,sK3,sK4,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f187,plain,
( ! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK3)
| ~ l1_cat_1(k11_cat_2(sK3,sK4))
| ~ m2_cat_1(k8_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK3)
| ~ v2_cat_1(k11_cat_2(sK3,sK4)) )
| spl9_1 ),
inference(subsumption_resolution,[],[f186,f120]) ).
fof(f186,plain,
( ! [X0] :
( ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK3)
| ~ l1_cat_1(k11_cat_2(sK3,sK4))
| ~ v2_cat_1(sK3)
| ~ m2_cat_1(k8_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK3)
| ~ v2_cat_1(k11_cat_2(sK3,sK4)) )
| spl9_1 ),
inference(subsumption_resolution,[],[f185,f121]) ).
fof(f185,plain,
( ! [X0] :
( ~ l1_cat_1(sK3)
| ~ m2_cat_1(X0,k11_cat_2(sK3,sK4),sK3)
| ~ l1_cat_1(k11_cat_2(sK3,sK4))
| ~ v2_cat_1(sK3)
| ~ m2_cat_1(k8_isocat_2(sK3,sK4),k11_cat_2(sK3,sK4),sK3)
| ~ v2_cat_1(k11_cat_2(sK3,sK4)) )
| spl9_1 ),
inference(resolution,[],[f184,f110]) ).
fof(f184,plain,
( ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| spl9_1 ),
inference(subsumption_resolution,[],[f183,f117]) ).
fof(f183,plain,
( ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| spl9_1 ),
inference(subsumption_resolution,[],[f182,f116]) ).
fof(f182,plain,
( ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| spl9_1 ),
inference(subsumption_resolution,[],[f181,f112]) ).
fof(f181,plain,
( ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ v2_cat_1(sK2)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| spl9_1 ),
inference(subsumption_resolution,[],[f180,f113]) ).
fof(f180,plain,
( ~ l1_cat_1(sK2)
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ v2_cat_1(sK2)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| spl9_1 ),
inference(subsumption_resolution,[],[f179,f119]) ).
fof(f179,plain,
( ~ l1_cat_1(sK4)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ l1_cat_1(sK2)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ v2_cat_1(sK2)
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| spl9_1 ),
inference(subsumption_resolution,[],[f178,f120]) ).
fof(f178,plain,
( ~ v2_cat_1(sK3)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ l1_cat_1(sK4)
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK2)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| spl9_1 ),
inference(subsumption_resolution,[],[f177,f121]) ).
fof(f177,plain,
( ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK3)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ l1_cat_1(sK4)
| ~ v2_cat_1(sK2)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| spl9_1 ),
inference(subsumption_resolution,[],[f176,f118]) ).
fof(f176,plain,
( ~ v2_cat_1(sK4)
| ~ l1_cat_1(sK4)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ v2_cat_1(sK3)
| ~ l1_cat_1(sK2)
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK2)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| spl9_1 ),
inference(subsumption_resolution,[],[f175,f114]) ).
fof(f175,plain,
( ~ m2_cat_1(sK5,sK2,k11_cat_2(sK3,sK4))
| ~ r2_nattra_1(sK2,k11_cat_2(sK3,sK4),sK5,sK6)
| ~ l1_cat_1(sK4)
| ~ r2_nattra_1(k11_cat_2(sK3,sK4),sK3,k8_isocat_2(sK3,sK4),k8_isocat_2(sK3,sK4))
| ~ l1_cat_1(sK2)
| ~ v2_cat_1(sK3)
| ~ v2_cat_1(sK4)
| ~ m2_cat_1(sK6,sK2,k11_cat_2(sK3,sK4))
| ~ l1_cat_1(sK3)
| ~ v2_cat_1(sK2)
| spl9_1 ),
inference(resolution,[],[f174,f134]) ).
fof(f134,plain,
( ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,sK5),k11_isocat_2(sK2,sK3,sK4,sK6))
| spl9_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f174,plain,
! [X8,X6,X7,X4,X5] :
( r2_nattra_1(X4,X5,k11_isocat_2(X4,X5,X6,X7),k11_isocat_2(X4,X5,X6,X8))
| ~ v2_cat_1(X4)
| ~ r2_nattra_1(X4,k11_cat_2(X5,X6),X7,X8)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X8,X4,k11_cat_2(X5,X6))
| ~ l1_cat_1(X5)
| ~ l1_cat_1(X4)
| ~ r2_nattra_1(k11_cat_2(X5,X6),X5,k8_isocat_2(X5,X6),k8_isocat_2(X5,X6))
| ~ l1_cat_1(X6)
| ~ m2_cat_1(X7,X4,k11_cat_2(X5,X6)) ),
inference(subsumption_resolution,[],[f173,f127]) ).
fof(f173,plain,
! [X8,X6,X7,X4,X5] :
( ~ m2_cat_1(X8,X4,k11_cat_2(X5,X6))
| ~ r2_nattra_1(X4,k11_cat_2(X5,X6),X7,X8)
| ~ m2_cat_1(k8_isocat_2(X5,X6),k11_cat_2(X5,X6),X5)
| ~ m2_cat_1(X7,X4,k11_cat_2(X5,X6))
| ~ v2_cat_1(X6)
| ~ r2_nattra_1(k11_cat_2(X5,X6),X5,k8_isocat_2(X5,X6),k8_isocat_2(X5,X6))
| ~ l1_cat_1(X4)
| r2_nattra_1(X4,X5,k11_isocat_2(X4,X5,X6,X7),k11_isocat_2(X4,X5,X6,X8))
| ~ l1_cat_1(X6)
| ~ l1_cat_1(X5)
| ~ v2_cat_1(X4)
| ~ v2_cat_1(X5) ),
inference(duplicate_literal_removal,[],[f171]) ).
fof(f171,plain,
! [X8,X6,X7,X4,X5] :
( ~ l1_cat_1(X5)
| ~ l1_cat_1(X6)
| ~ m2_cat_1(k8_isocat_2(X5,X6),k11_cat_2(X5,X6),X5)
| ~ v2_cat_1(X5)
| ~ v2_cat_1(X6)
| ~ v2_cat_1(X4)
| r2_nattra_1(X4,X5,k11_isocat_2(X4,X5,X6,X7),k11_isocat_2(X4,X5,X6,X8))
| ~ r2_nattra_1(X4,k11_cat_2(X5,X6),X7,X8)
| ~ r2_nattra_1(k11_cat_2(X5,X6),X5,k8_isocat_2(X5,X6),k8_isocat_2(X5,X6))
| ~ m2_cat_1(X8,X4,k11_cat_2(X5,X6))
| ~ l1_cat_1(X4)
| ~ l1_cat_1(X6)
| ~ l1_cat_1(X4)
| ~ v2_cat_1(X5)
| ~ l1_cat_1(X5)
| ~ m2_cat_1(X7,X4,k11_cat_2(X5,X6))
| ~ v2_cat_1(X6)
| ~ v2_cat_1(X4)
| ~ m2_cat_1(X7,X4,k11_cat_2(X5,X6)) ),
inference(superposition,[],[f157,f126]) ).
fof(f126,plain,
! [X2,X3,X0,X1] :
( k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2))
| ~ l1_cat_1(X1)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X2)
| ~ v2_cat_1(X0)
| ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ~ l1_cat_1(X0)
| ! [X1] :
( ~ l1_cat_1(X1)
| ~ v2_cat_1(X1)
| ! [X2] :
( ! [X3] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ) )
| ~ v2_cat_1(X0) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ m2_cat_1(X3,X0,k11_cat_2(X1,X2))
| k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) )
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> ! [X3] :
( m2_cat_1(X3,X0,k11_cat_2(X1,X2))
=> k11_isocat_2(X0,X1,X2,X3) = k2_isocat_1(X0,k11_cat_2(X1,X2),X1,X3,k8_isocat_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_isocat_2) ).
fof(f157,plain,
! [X10,X11,X8,X6,X9,X7] :
( r2_nattra_1(X6,X7,k2_isocat_1(X6,k11_cat_2(X7,X8),X7,X10,X11),k11_isocat_2(X6,X7,X8,X9))
| ~ r2_nattra_1(k11_cat_2(X7,X8),X7,X11,k8_isocat_2(X7,X8))
| ~ l1_cat_1(X6)
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X8)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X11,k11_cat_2(X7,X8),X7)
| ~ m2_cat_1(X10,X6,k11_cat_2(X7,X8))
| ~ m2_cat_1(X9,X6,k11_cat_2(X7,X8))
| ~ v2_cat_1(X7)
| ~ l1_cat_1(X7)
| ~ r2_nattra_1(X6,k11_cat_2(X7,X8),X10,X9) ),
inference(subsumption_resolution,[],[f156,f130]) ).
fof(f156,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ v2_cat_1(X7)
| ~ m2_cat_1(X10,X6,k11_cat_2(X7,X8))
| ~ v2_cat_1(X6)
| ~ v2_cat_1(k11_cat_2(X7,X8))
| ~ l1_cat_1(X8)
| ~ r2_nattra_1(X6,k11_cat_2(X7,X8),X10,X9)
| ~ m2_cat_1(X9,X6,k11_cat_2(X7,X8))
| r2_nattra_1(X6,X7,k2_isocat_1(X6,k11_cat_2(X7,X8),X7,X10,X11),k11_isocat_2(X6,X7,X8,X9))
| ~ r2_nattra_1(k11_cat_2(X7,X8),X7,X11,k8_isocat_2(X7,X8))
| ~ l1_cat_1(X6)
| ~ v2_cat_1(X8)
| ~ m2_cat_1(X11,k11_cat_2(X7,X8),X7)
| ~ l1_cat_1(X7) ),
inference(subsumption_resolution,[],[f155,f127]) ).
fof(f155,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ l1_cat_1(X7)
| ~ m2_cat_1(X10,X6,k11_cat_2(X7,X8))
| ~ r2_nattra_1(k11_cat_2(X7,X8),X7,X11,k8_isocat_2(X7,X8))
| ~ m2_cat_1(X11,k11_cat_2(X7,X8),X7)
| r2_nattra_1(X6,X7,k2_isocat_1(X6,k11_cat_2(X7,X8),X7,X10,X11),k11_isocat_2(X6,X7,X8,X9))
| ~ r2_nattra_1(X6,k11_cat_2(X7,X8),X10,X9)
| ~ v2_cat_1(X8)
| ~ m2_cat_1(X9,X6,k11_cat_2(X7,X8))
| ~ l1_cat_1(X8)
| ~ v2_cat_1(X6)
| ~ v2_cat_1(X7)
| ~ m2_cat_1(k8_isocat_2(X7,X8),k11_cat_2(X7,X8),X7)
| ~ v2_cat_1(k11_cat_2(X7,X8))
| ~ l1_cat_1(X6) ),
inference(subsumption_resolution,[],[f150,f129]) ).
fof(f150,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ v2_cat_1(X7)
| ~ m2_cat_1(X9,X6,k11_cat_2(X7,X8))
| ~ l1_cat_1(k11_cat_2(X7,X8))
| ~ v2_cat_1(k11_cat_2(X7,X8))
| ~ v2_cat_1(X8)
| ~ m2_cat_1(X11,k11_cat_2(X7,X8),X7)
| ~ m2_cat_1(X10,X6,k11_cat_2(X7,X8))
| ~ l1_cat_1(X8)
| ~ m2_cat_1(k8_isocat_2(X7,X8),k11_cat_2(X7,X8),X7)
| ~ r2_nattra_1(X6,k11_cat_2(X7,X8),X10,X9)
| ~ v2_cat_1(X6)
| ~ l1_cat_1(X7)
| ~ r2_nattra_1(k11_cat_2(X7,X8),X7,X11,k8_isocat_2(X7,X8))
| ~ l1_cat_1(X6)
| r2_nattra_1(X6,X7,k2_isocat_1(X6,k11_cat_2(X7,X8),X7,X10,X11),k11_isocat_2(X6,X7,X8,X9)) ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f147,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ l1_cat_1(X6)
| ~ l1_cat_1(X7)
| ~ m2_cat_1(X9,X6,k11_cat_2(X7,X8))
| ~ r2_nattra_1(k11_cat_2(X7,X8),X7,X11,k8_isocat_2(X7,X8))
| ~ v2_cat_1(X6)
| ~ m2_cat_1(k8_isocat_2(X7,X8),k11_cat_2(X7,X8),X7)
| ~ l1_cat_1(X6)
| ~ m2_cat_1(X9,X6,k11_cat_2(X7,X8))
| ~ v2_cat_1(X7)
| ~ v2_cat_1(X7)
| ~ v2_cat_1(X8)
| ~ v2_cat_1(X6)
| ~ m2_cat_1(X10,X6,k11_cat_2(X7,X8))
| ~ m2_cat_1(X11,k11_cat_2(X7,X8),X7)
| ~ l1_cat_1(k11_cat_2(X7,X8))
| r2_nattra_1(X6,X7,k2_isocat_1(X6,k11_cat_2(X7,X8),X7,X10,X11),k11_isocat_2(X6,X7,X8,X9))
| ~ v2_cat_1(k11_cat_2(X7,X8))
| ~ l1_cat_1(X8)
| ~ l1_cat_1(X7)
| ~ r2_nattra_1(X6,k11_cat_2(X7,X8),X10,X9) ),
inference(superposition,[],[f105,f126]) ).
fof(f139,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f115,f136,f132]) ).
fof(f115,plain,
( ~ r2_nattra_1(sK2,sK4,k12_isocat_2(sK2,sK3,sK4,sK5),k12_isocat_2(sK2,sK3,sK4,sK6))
| ~ r2_nattra_1(sK2,sK3,k11_isocat_2(sK2,sK3,sK4,sK5),k11_isocat_2(sK2,sK3,sK4,sK6)) ),
inference(cnf_transformation,[],[f98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CAT026+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 19:07:03 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (14685)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.51 % (14677)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (14677)Instruction limit reached!
% 0.21/0.51 % (14677)------------------------------
% 0.21/0.51 % (14677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (14677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (14677)Termination reason: Unknown
% 0.21/0.51 % (14677)Termination phase: Property scanning
% 0.21/0.51
% 0.21/0.51 % (14677)Memory used [KB]: 1535
% 0.21/0.51 % (14677)Time elapsed: 0.004 s
% 0.21/0.51 % (14677)Instructions burned: 3 (million)
% 0.21/0.51 % (14677)------------------------------
% 0.21/0.51 % (14677)------------------------------
% 0.21/0.51 % (14669)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.52 % (14675)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.52 % (14673)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.52 % (14669)First to succeed.
% 0.21/0.52 % (14674)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (14664)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (14669)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (14669)------------------------------
% 0.21/0.53 % (14669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (14669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (14669)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (14669)Memory used [KB]: 6140
% 0.21/0.53 % (14669)Time elapsed: 0.074 s
% 0.21/0.53 % (14669)Instructions burned: 8 (million)
% 0.21/0.53 % (14669)------------------------------
% 0.21/0.53 % (14669)------------------------------
% 0.21/0.53 % (14662)Success in time 0.177 s
%------------------------------------------------------------------------------